Theorem 4.2 ([1]}) 
For \(\eta >0\) , if \(\mu \)  is an \(\eta \) -spectrally independent distribution, then Glauber dynamics
for sampling from \(\mu \)  has spectral gap which is at least
\(n^{-1}\prod ^{n-2}_{i=0}\left( 1-\frac{\eta }{n-i-1}\right).\) 

